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Finding the Fourth Proportional to 395,303.82, 545,518.94 and 214,017.31

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Solution

The fourth proportional to 395,303.82, 545,518.94 and 214,017.31 is: 295,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,303.82 : 545,518.94 = 214,017.31 : x
  2. Step 2: Convert to fraction form
    395,303.82/545,518.94 = 214,017.31/x
  3. Step 3: Cross multiply
    395,303.82x = 545,518.94 × 214,017.31
  4. Step 4: Simplify right side
    395,303.82x = 116,750,495,022.77
  5. Step 5: Solve for x
    x = 116,750,495,022.77/395,303.82
  6. Step 6: Final answer
    x = 295,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.